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Simplifying -4k + 2k(5k + -6) = -3k + -39 Reorder the terms: -4k + 2k(-6 + 5k) = -3k + -39 -4k + (-6 * 2k + 5k * 2k) = -3k + -39 -4k + (-12k + 10k2) = -3k + -39 Combine like terms: -4k + -12k = -16k -16k + 10k2 = -3k + -39 Reorder the terms: -16k + 10k2 = -39 + -3k Solving -16k + 10k2 = -39 + -3k Solving for variable 'k'. Reorder the terms: 39 + -16k + 3k + 10k2 = -39 + -3k + 39 + 3k Combine like terms: -16k + 3k = -13k 39 + -13k + 10k2 = -39 + -3k + 39 + 3k Reorder the terms: 39 + -13k + 10k2 = -39 + 39 + -3k + 3k Combine like terms: -39 + 39 = 0 39 + -13k + 10k2 = 0 + -3k + 3k 39 + -13k + 10k2 = -3k + 3k Combine like terms: -3k + 3k = 0 39 + -13k + 10k2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 3.9 + -1.3k + k2 = 0.0 Move the constant term to the right: Add '-3.9' to each side of the equation. 3.9 + -1.3k + -3.9 + k2 = 0.0 + -3.9 Reorder the terms: 3.9 + -3.9 + -1.3k + k2 = 0.0 + -3.9 Combine like terms: 3.9 + -3.9 = 0.0 0.0 + -1.3k + k2 = 0.0 + -3.9 -1.3k + k2 = 0.0 + -3.9 Combine like terms: 0.0 + -3.9 = -3.9 -1.3k + k2 = -3.9 The k term is -1.3k. Take half its coefficient (-0.65). Square it (0.4225) and add it to both sides. Add '0.4225' to each side of the equation. -1.3k + 0.4225 + k2 = -3.9 + 0.4225 Reorder the terms: 0.4225 + -1.3k + k2 = -3.9 + 0.4225 Combine like terms: -3.9 + 0.4225 = -3.4775 0.4225 + -1.3k + k2 = -3.4775 Factor a perfect square on the left side: (k + -0.65)(k + -0.65) = -3.4775 Can't calculate square root of the right side. The solution to this equation could not be determined.
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